直觉Menger空间中的广义压缩映射原理及其在微分方程中的应用

S·库图苏; A·图纳; A·T·雅库特

直觉Menger空间中的广义压缩映射原理及其在微分方程中的应用

1.
昂都库兹_马伊斯大学理学与文学学院数学系,库鲁佩里特 55139 萨姆松,土耳其; 2.盖兹大学理学与文学学院数学系,特克尼科库拉 06500 安卡拉,土耳其;3.尼代大学理学与文学学院数学系,尼代,土耳其

详细信息

中图分类号: O177.3；175.15；189.2
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出版历程
- 收稿日期: 2006-07-10
- 修回日期: 2007-02-01
- 刊出日期: 2007-06-15

Generalized Contraction Mapping Principle in Intuitionistic Menger Spaces and an Application to Differential Equations

1.
Department of Mathematics, Faculty of Science and Arts, Ondokuz Mayis University, Kurupelit, 55139 Samsun, Turkey;

摘要

摘要: 利用Atanassov的思路，将直觉Menger空间定义为由Menger提出的Menger空间的自然推广．同时也得出一个新广义压缩映射，并运用该压缩映射证明了直觉Menger空间中微分方程解的存在性定理．
- 广义压缩映射 /
- 直觉Menger空间 /
- 直觉Menger赋范空间 /
- 直觉概率有界集
Abstract: Using the idea of Atanassov,the notion of intuitionistic Menger spaces was defined as a natural generalizations of Menger spaces due to Menger.A new generalized contraction mapping and utilize this contraction mapping to prove the existance theorems of solutions to differential equations in intuitionistic Menger spaces were obtained.
- generalized contraction mapping /
- intuitionistic Menger space /
- intuitionistic Menger normed space /
- intuitionistic probabilistic bounded set

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参考文献(17)

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